Last year just earned $8.50 an hour at work after a raise. She now earns $9.85 an hour. What is the percent change in her hourly wages round your answer to the nearest hundredth

To find the percent change in hourly wages, we can use the formula:

\[\text{Percent Change} = \left( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \right) \times 100\%.\]

The original value is $8.50 and the new value is $9.85, so the percent change is:

\[\left( \frac{9.85 - 8.50}{8.50} \right) \times 100\% = \left( \frac{1.35}{8.50} \right) \times 100\% = 15.88\%.\]

Rounded to the nearest hundredth, the percent change is $\boxed{15.88\%}$.